Here is the full list of all 50 Vanquish achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Find and fire upon all of the Pangloss statues hidden on the colony.
Complete all of the Tactical Challenges in VANQUISH.
Complete the game without dying, regardless of difficulty level.
Destroy 100 enemy robots with melee attacks.
Destroy the Buzzard without allowing it to reach ground level in Act 5-1.
Destroy five or more enemy transports from atop the Kreon in Act 3-7.
Destroy all the floating turrets in Act 3-4.
Complete all Acts.
Complete all Acts on Hard difficulty or above.
Complete Act 5.
Complete Act 5 on Hard difficulty or above.
Complete Act 4.
Complete Act 4 on Hard difficulty or above.
Ignore the elevator start order in Act 4-1. Instead, hold position and destroy all reinforcements.
Complete Act 3.
Complete Act 3 on Hard difficulty or above.
Destroy 10 enemies distracted by cigarettes during one mission.
Do not allow any friendly armor to be destroyed during Act 3-5.
Proceed on the monorail in Act 3-4 without being spotted by the enemy troops or searchlights.
Destroy two cannons in Act 3-3 and complete the mission.
Defend the Pangloss statue in Act 3-2.
Destroy four enemies simultaneously with the Lock-on Laser.
Destroy a Romanov's arms and legs, then finish it with a melee attack.
Complete Act 2.
Complete Act 2 on Hard difficulty or above.
Destroy two Romanovs in a row using only melee attacks.
Destroy two Argus robots in Act 2-3 while they are in bipedal mode.
After taking control of the enemy transport in Act 2-2, do not let a single enemy escape.
Destroy a Chicane with a hand grenade.
Complete Act 1.
Complete Act 1 on Hard difficulty or above.
Level a weapon up to maximum operational capability.
Destroy three enemy robots at once with rocket launcher splash damage.
Destroy two or more enemy robots at once with the LFE gun.
Scan and acquire all weapons.
Revive 20 friendly troops.
Destroy ten enemy robots with melee attacks.
Destroy a Romanov with a melee attack.
Destroy ten enemy robots that have been disabled with an EMP emitter.
Destroy three enemy robots while in damage-triggered AR Mode.
Destroy the arms, head, and back of an KNRB-0 Argus robot.
Maintain a Boost dash to the limit of the ARS reactor without overheating.
Manually trigger AR Mode and destroy three enemy robots in a row.
Destroy two enemy robots who have been distracted by a cigarette.
Manually trigger AR Mode and destroy an enemy robot.
Revive a friendly troop.
Destroy ten incoming missiles or grenades.
Destroy an incoming missile or grenade.
Destroy three enemy robots at once with one hand grenade.
Complete all DARPA training exercises.